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Finding the Fourth Proportional to 37,490.14, 56,235.23 and 9,788.14

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Solution

The fourth proportional to 37,490.14, 56,235.23 and 9,788.14 is: 14,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,490.14 : 56,235.23 = 9,788.14 : x
  2. Step 2: Convert to fraction form
    37,490.14/56,235.23 = 9,788.14/x
  3. Step 3: Cross multiply
    37,490.14x = 56,235.23 × 9,788.14
  4. Step 4: Simplify right side
    37,490.14x = 550,437,974.06
  5. Step 5: Solve for x
    x = 550,437,974.06/37,490.14
  6. Step 6: Final answer
    x = 14,682.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.